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<b>let </b><font color="Maroon">A</font> be   <a href="cat_1.html#NM4">Category</a>;<br/><b>let </b><font color="Maroon">f</font> be    <a href="subset_1.html#M1">Element</a> of the <a href="cat_1.html#U2">Morphisms</a> of <font color="Maroon">A</font>;<br/>



<a NAME="E1:6"/>
<span class="p1"><a href="yoneda_1.html#K2" target="_self">&lt;|</a><span class="default"><span class="p2">(<span class="default"><a href="cat_1.html#K3">cod</a> <font color="Maroon">f</font></span>)</span></span><a href="yoneda_1.html#K2" target="_self">,?&gt;</a></span> <a href="nattra_1.html#R2">is_naturally_transformable_to</a> <span class="p1"><a href="yoneda_1.html#K2" target="_self">&lt;|</a><span class="default"><span class="p2">(<span class="default"><a href="cat_1.html#K2">dom</a> <font color="Maroon">f</font></span>)</span></span><a href="yoneda_1.html#K2" target="_self">,?&gt;</a></span>
 
<b>by </b><i/>;<br/>
<a NAME="E2:6"/><b>then </b>
<span class="p1"><a href="tarski.html#K4">[</a><span class="default"><span class="p2"><a href="tarski.html#K4">[</a><span class="default"><span class="p3"><a href="yoneda_1.html#K2" target="_self">&lt;|</a><span class="default"><span class="p4">(<span class="default"><a href="cat_1.html#K3">cod</a> <font color="Maroon">f</font></span>)</span></span><a href="yoneda_1.html#K2" target="_self">,?&gt;</a></span>,<span class="p3"><a href="yoneda_1.html#K2" target="_self">&lt;|</a><span class="default"><span class="p4">(<span class="default"><a href="cat_1.html#K2">dom</a> <font color="Maroon">f</font></span>)</span></span><a href="yoneda_1.html#K2" target="_self">,?&gt;</a></span></span><a href="tarski.html#K4">]</a></span>,<span class="p2"><a href="yoneda_1.html#K3" target="_self">&lt;|</a><span class="default"><font color="Maroon">f</font></span><a href="yoneda_1.html#K3" target="_self">,?&gt;</a></span></span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R2">in</a>  <a href="nattra_1.html#K11">NatTrans</a> <font color="Maroon">A</font>,<span class="p1">(<span class="default"><a href="yoneda_1.html#K1" target="_self">EnsHom</a> <font color="Maroon">A</font></span>)</span>
 
<b>by </b><i><a class="ref" href="nattra_1.html#D16">NATTRA_1:def 16</a></i>;<br/>
<b>hence </b><a NAME="E3:6"/>
<span class="p1"><a href="tarski.html#K4">[</a><span class="default"><span class="p2"><a href="tarski.html#K4">[</a><span class="default"><span class="p3"><a href="yoneda_1.html#K2" target="_self">&lt;|</a><span class="default"><span class="p4">(<span class="default"><a href="cat_1.html#K3">cod</a> <font color="Maroon">f</font></span>)</span></span><a href="yoneda_1.html#K2" target="_self">,?&gt;</a></span>,<span class="p3"><a href="yoneda_1.html#K2" target="_self">&lt;|</a><span class="default"><span class="p4">(<span class="default"><a href="cat_1.html#K2">dom</a> <font color="Maroon">f</font></span>)</span></span><a href="yoneda_1.html#K2" target="_self">,?&gt;</a></span></span><a href="tarski.html#K4">]</a></span>,<span class="p2"><a href="yoneda_1.html#K3" target="_self">&lt;|</a><span class="default"><font color="Maroon">f</font></span><a href="yoneda_1.html#K3" target="_self">,?&gt;</a></span></span><a href="tarski.html#K4">]</a></span> is    <a href="subset_1.html#M1">Element</a> of the <a href="cat_1.html#U2">Morphisms</a> of <span class="p1">(<span class="default"><a href="nattra_1.html#K12">Functors</a> <font color="Maroon">A</font>,<span class="p2">(<span class="default"><a href="yoneda_1.html#K1" target="_self">EnsHom</a> <font color="Maroon">A</font></span>)</span></span>)</span>
 <b>by </b><i><a class="ref" href="nattra_1.html#D18">NATTRA_1:def 18</a></i>;<br/>


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